Answer:
[tex]s(8)=2186[/tex]
Step-by-step explanation:
A particle is moving with acceleration modeled by the function:
[tex]a(t)=18t+16[/tex]
We are given that its position s(t) at t = 0 is 10 and that its velocity v(t) at t = 0 is 16.
And we want to find its position at t = 8.
Velocity is the integral of the acceleration. Hence:
[tex]\displaystyle v(t)=\int a(t)\, dt=\int 18t+16\, dt[/tex]
Find the velocity. Remember the constant of integration!
[tex]v(t)=9t^2+16t+C[/tex]
Since v(t) is 16 when t = 0:
[tex](16)=9(0)^2+16(0)+C\Rightarrow C=16[/tex]
Hence, our velocity is given by:
[tex]v(t)=9t^2+16t+16[/tex]
Position is the integral of the velocity. Hence:
[tex]\displaystyle s(t)=\int v(t)\, dt=\int 9t^2+16t+16\, dt[/tex]
Integrate:
[tex]\displaystyle s(t)=3t^3+8t^2+16t+C[/tex]
s(t) is 10 when t = 10. Hence:
[tex]C=10[/tex]
So, our position function is:
[tex]s(t)=3t^3+8t^2+16t+10[/tex]
The position at t = 8 will be:
[tex]s(8)=3(8)^3+8(8)^2+16(8)+10=2186[/tex]
Can someone help me with this question please.
59:40
20-
What are the domain and range of the function on the
graph?
O The domain includes all integers
, and the range is y
0.
12+
O The domain includes all integers, and the range is
8-
The domain includes all real numbers, and the range
is y 2 0.
The domain includes all real numbers, and the range
is y > 0
4
1
2
3
4
5
6
7 X
Answer:
The domain includes all real numbers, and the range is y > 0.
Step-by-step explanation:
It is represented by [x] read as step 'x'
It is defined for all x
∴ domain=(−∞,∞)
The range is y > 0.
If 4 blocks weigh 28 ounces how many blocks weigh 70 ounces
Answer:
10 blocks.
Step-by-step explanation:
Find the unit rate.
[tex]\frac{28}{4}=\frac{7}{1}=\frac{70}{10}[/tex]
Therefore, 10 blocks weigh 70 ounces.
The axis of symmetry for the graph of the function f(x) = 2x2 + 3x + 10 is x=6. What is the value of b?
Ο Ο Ο Ο
3
What is the value for X?
Answer:
5
Step-by-step explanation:
6x + 4 + 73 + 73 = 180
6x + 150 = 180
6x = 30
x = 5
Those little marks on AB and BC denote congruence. That makes the triangle isoceles. That means the base angles are equal. Both 73.
Triangle Sum Theory states all angles of a triangle add to 180.
y - (-9) = 8?
I am confused
Answer:
y = -1
Step-by-step explanation:
y - ( - 9) = 8
y + 9 = 8
y = 8 - 9
y = -1
- ( - turns to + because you are subtracting a negative number
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
y = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
y - (-9) = 8
Step 2: Solve for y
Simplify: y + 9 = 8[Subtraction Property of Equality] Subtract 9 on both sides: y = -1D'andre was trying to make a rectangular frame that had a width of 24 inches and a length of 70 inches. He wanted to ensure his shape contained right angles, so he measured the diagonal and found that it was 74 inches long. Did D'andre construct a rectangle? Why or why not?
Answer:
yes
the sum of the squares of the width and length is equal to the square of the diagonal
Step-by-step explanation:
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
24^2 + 70^ = 576 + 4900 = 5476
square root = 74
What is GC?
I need help Please!
Sketch the graph of y = negative 2 x squared + x + 1 using your graphing calculator. What are the x-intercepts of this graph? a. (1, 0) and (-0.5, 0) c. There are no x-intercepts b. (-2.5, 0) and (-2, 0) d. (-1.5, 0) and (-0.5, 0) Please select the best answer from the choices provided A B C D
y= -2x²+ x + 1
i think it's A ?
Answer:
a
Step-by-step explanation:
eng. 2022
What number is equal to its opposite?
Answer:
zero
Step-by-step explanation:
HELPPP!!! ASAPPP!! PLEASE!! WILL GIVE EXTRA POINTS!!
Answer:
both of those lines intersect each other and are equal lines
Step-by-step explanation:
w²-10w-24
I really need help right now
Answer:
(w−12)(w+2)
Step-by-step explanation:
Step-by-step explanation:
w²-10w-24
(w²-12w)+(2w-24)
w(w-12)+2(w-12)
(w-12)(w+2)
What is 6x3-5+21/3?
Answer: 20
Step-by-step explanation:
First is 6 x 3 which is 18 then take away 5 so it would be 13 and + 21/3 is basically a seven so its 20
3. A bag contains 10 green and 5 grey marbles. If you pick a marble, record its color,
and return it to the bag 150 times, how many times can you expect to pick a gray
marble?
a. 15
b. 50
c. 750
d. 2,000
What is the solution to the equation 6y –2(y + 1) = 3(y – 2) + 6?
y = –10
y = –2
y = 2
y = 6
Answer:
y = 2
Step-by-step explanation:
6y - 2(y + 1) = 3(y - 2) + 6
6y - 2y - 2 = 3y - 6 + 6
6y - 2y - 2 = 3y
4y - 2 = 3y
4y - 2 + 2 = 3y + 2
4y = 3y + 2
4y - 3y = 3y - 3y + 2
y = 2
The mean of ten numbers is 58. If one of the numbers is 40,
what is the mean of the other nine?
60
if the mean of ten numbers is 58 then the total would be 580 and when you subtract 40 from 580 you get 540 and then divide 540 by 9 for the new mean of 60
Organize from least to greatest
Answer:
y=31x/15 < y=27x/13 < y=15x/7 < y=13x/6 < y=11x/5 < y=21x/9 (=7x/3) < y=19x/8
Step-by-step explanation:
since all equations base on a linear, simple expression of x, we can simply compare the fractions.
in general, the bigger the number at the bottom, the smaller the individual fraction. that is our first indicator.
we then notice that many fractions represent the value of 2 plus one fraction.
31/15 = 2 1/15
27/13 = 2 1/13
15/7 = 2 1/7
13/6 = 2 1/6
11/5 = 2 1/5
the only exceptions are 21/9 and 19/8
but 21/9 is actually 7/3 = 2 1/3
and fits therefore into the list above.
that leaves 19/8 = 2 3/8.
the list above can be sorted based on the single fraction at the end (remember, the bigger the number at the bottom, the smaller the value). so, from least to greatest :
2 1/15 (31/15)
2 1/13 (27/13)
2 1/7 (15/7)
2 1/6 (13/6)
2 1/5 (11/5)
2 1/3 (7/3 = 21/9)
where did now 2 3/8 fit in ?
well, 3/8 is almost 1/2 (so, relatively big), and we start our comparison with the biggest number in the list so far :
1/3 (from 2 1/3).
what is bigger - 1/3 or 3/8 ?
let's find the smallest number that can be divided by 3 and by 8. that would be 24. so now we bring both fractions to the same base of 24.
1/3 = 8/24
3/8 = 9/24
=> 3/8 > 1/3
and therefore, 19/8 is the largest value and at the end of the list.
Suppose a normal distribution has a mean of 48 abd a standard deviation of 5. What is the probability that a data value is between 48 and 52?
Answer:
P(48<x<52) = 0.2881
Step-by-step explanation:
P(48<x<52) = normalcdf(lower,upper,µ,σ) = normalcdf(48,52,48,5) ≈ 0.2881
Therefore, the probability that a data value is between 48 and 52 is 0.2881, or about a 28.81% chance of occurrence.
3. sin t + cos2 t / sin t =
Simplify. x 0 yz -3
Simplify. x 0 yz -3
Answer:
y / z^3
Step-by-step explanation:
x^0 is 1 because anything to the zero power is 1
1 *y z^-3
We know a^-b = 1/a^b
y / z^3
Answer:
[tex] \small \sf \frac{y}{z {}^{ 3}} [/tex]
Step-by-step explanation:
x⁰yz-³
Any non expression raised to power of 0 equals 1.[tex] \small \sf \: 1yz {}^{ - 3} [/tex]
Express with positive exponents using [tex] \small \sf \: a {}^{ - n} = \frac{1}{a^n}[/tex]1y +[tex] \small \sf \frac{1}{ z {}^{ 3}} [/tex]
[tex] \small \sf \frac{y}{z {}^{ 3} }[/tex]
how do i solve this in standard form ( see image)
Answer:
-25
Step-by-step explanation:
Let h = -3.
[tex](8(-3)-1)-(-3+3)\\(-24-1)-(-3+3)\\-25-0\\-25[/tex]
10. A model ship is 28 in. by 65 in. Use the scale 1 in.: ft to find the dimensions of the actual ship. 28 ft by 65 ft 14 ft by 32 325 Ft 84 ft by 195 ft 14 ft by 65 ft
Answer:
14 by 32.5
Step-by-step explanation:
Which graph represents the function f(x) = -|x| -2
Answer:
my answer is in this picture
What are all the possible values of x? (This is not a right triangle!)
Answer:
2 < x < 5
Step-by-step explanation:
In a triangle a side must be major than the difference of the other two and minor of the sum of the other two
7-5 = 2
7+5 = 12
in the figure we can see that x is the smallest side
PLSS HELPP QHEJJEWJAKWK
What is the vertex of the parabola in the graph?
Answer:
(-3,-4)
Step-by-step explanation:
The vertex is the minimum or maximum or a parabola.
This is an upward opening parabola, so it has a minimum.
The minimum is (-3,-4)
Nandan bought some pencils at the rate of Rs 20 per pencil . He also bought an equal number of erasers at the rate of Rs 4 per eraser . He made 40 % profit on pencils and 50 % profit on erasers . At the end of the day, all the pencils and erasers were sold out and he made a profit of Rs 470 . Find the number of pencils he purchased.
Answer:
47 pencil
Step-by-step explanation:
Let x represent the number of pencils that were bought. Since equal number of erasers where also purchased, hence x erasers were purchased.
Cost of pencils = Rs 20 per pencil * x pencils = 20x
Cost of erasers = Rs 4 per eraser * x eraser = 4x
40% profit was made on pencils, hence:
Profit on pencils = 40% of cost price = 0.4 * 20x = 8x
50% profit was made on erasers, hence:
Profit on eraser = 50% of cost price = 0.5 * 4x = 2x
Since the total profit from pencil and eraser was Rs 470, hence:
8x + 2x = 470
10x = 470
x = 47
Therefore he purchased 47 pencil
the product of two integers is 96. One of them is-12, find the other numbers
Answer:
-8
Step-by-step explanation:
let the other number be x
according to the question equation is
-12x = 96
x = 96/-12
x = -8
What’s the exponent ion regression equation for hat first these data.
the answer is in the picture
Which parent function is f(x) = |x|?
A. The quadratic parent function
B. The absolute value parent function
C. The linear parent function
D. An exponential parent function
Answer:
it B
Step-by-step explanation:
xhdbsxjnysnkh rxdhwbejdxigj
What is the interest charge on $45.75 at 1.8% interest?
O $84.77
O $0.82
O $0.05
O $0.77
Answer:
.82
Step-by-step explanation:
45.75 x .018=.82